What is the 348th prime number?
The 348th prime number is 2347. The next prime is 2351 (a gap of 4) and the one before is 2341.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 348th one is 2347.
- 2
2347 is prime because no prime up to ā2347 ā 48.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 348th prime is close to 348 Ć ln(348) ā 2037, and here it is 2347.
- 4
2347 has no twin: neither 2345 nor 2349 is prime.
Primes around the 348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 345 | 2333 | 22 |
| 346 | 2339 | 6 |
| 347 | 2341 | 2 |
| 348 | 2347 | 6 |
| 349 | 2351 | 4 |
| 350 | 2357 | 6 |
| 351 | 2371 | 14 |
Questions
What is the 348th prime number?
2347.
Which prime number is 2347?
2347 is the 348th prime number.
What is the sum of the first 348 primes?
374,959.